Question

How many thousands make a lakh?

Answer 1

Hint:
Here, we need to find the number of thousands that make a lakh. We will assume the number of thousands that make a lakh to be \[x\]. Using the given information, we will form a linear equation in one variable in terms of \[x\]. Then, we will simplify the equation to get the value of \[x\], and hence, the number of thousands that make a lakh.

Complete step by step solution:
Let the number of thousands that make a lakh be \[x\].
We will use the given information to form a linear equation in one variable in terms of \[x\].
We know that the 1 lakh is the product of 1 thousand, and the number of thousands that make 1 lakh.
Therefore, we get
1 lakh \[ = \] 1 thousand \[ \times \] Number of thousands in 1 lakh
Substituting the number of thousands in 1 lakh as \[x\], we get
\[ \Rightarrow \]1 lakh \[ = \] 1 thousand \[ \times \]\[x\]
\[ \Rightarrow 100000 = 1000 \times x\]
Multiplying the terms of the expression and rewriting, we get
\[ \Rightarrow 1000x = 100000\]
Dividing both sides by 1000, we get
\[\begin{array}{l} \Rightarrow \dfrac{{1000x}}{{1000}} = \dfrac{{100000}}{{1000}}\\ \Rightarrow \dfrac{{1000}}{{1000}}x = \dfrac{{1000 \times 100}}{{1000}}\\ \Rightarrow \dfrac{{1000}}{{1000}}x = \dfrac{{1000}}{{1000}} \times 100\end{array}\]
Therefore, we get
\[\begin{array}{l} \Rightarrow 1x = 1 \times 100\\ \Rightarrow x = 100\end{array}\]

\[\therefore \] The number of thousands that make a lakh is 100.

Note:
We used the term linear equation in one variable in the solution. A linear equation is an equation of the form \[ax + b = 0\], where \[a\] is not equal to 0, and \[a\] and \[b\] are real numbers. For example, \[x - 100 = 0\] and \[100x - 566 = 0\] are linear equations in one variable \[x\].
We can also use multiplication by 10 and 100 to find the number of thousands in a lakh.
We know that when a number is multiplied by 10, the result is the same number, with 0 at the unit’s place. For example, the product of 35 and 10 is 350.
Therefore, we get
One thousand \[ = \] 1000
Ten thousands \[ = \] 10 \[ \times \] 1000 \[ = \]10000
Multiplying ten thousands by 10, we get
10 \[ \times \] Ten thousands \[ = \] 10 \[ \times \] 10000 \[ = \]100000
Therefore, we get
Hundred thousands \[ = \] 100000 \[ = \] 1 lakh
Thus, we get that 100 thousands make a lakh.